{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "C4nZjbMHWcm_" }, "source": [ "# Sinkhorn Barycenters" ] }, { "cell_type": "markdown", "metadata": { "id": "dpTlNSRqXevL" }, "source": [ "## Import Toolboxes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This NB was run on Colab using a GPU." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import sys\n", "\n", "if \"google.colab\" in sys.modules:\n", " !pip install -q git+https://github.com/ott-jax/ott@main\n", " !pip install -q nilearn" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import nilearn\n", "from nilearn import datasets, image, plotting\n", "from nilearn.image import get_data\n", "\n", "import jax\n", "import jax.numpy as jnp\n", "import numpy as np\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "from ott.geometry import costs, epsilon_scheduler, grid\n", "from ott.solvers.linear import discrete_barycenter" ] }, { "cell_type": "markdown", "metadata": { "id": "02VJX2uXYHDX" }, "source": [ "## Import neuroimaging data using `nilearn`.\n", "\n", "We recover a few MRI datapoints..." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "ysURew0UKhHE" }, "outputs": [], "source": [ "n_subjects = 4\n", "dataset_files = datasets.fetch_oasis_vbm(n_subjects=n_subjects)\n", "gm_imgs = np.array(dataset_files.gray_matter_maps)" ] }, { "cell_type": "markdown", "metadata": { "id": "g5zBghMuON5u" }, "source": [ "... and plot their gray matter densities. " ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 821 }, "id": "FxyufzjC4kmD", "outputId": "d0c9f5f9-1725-4d6d-d1e8-de94eb40478b" }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "for i in range(n_subjects):\n", " plotting.plot_epi(gm_imgs[i])\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "wMTFtruFnvdN" }, "source": [ "## Represent data as histograms\n", "\n", "We normalize those gray matter densities so that they sum to 1, and check their size." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "NPmAXwkDZCal", "outputId": "2d301959-03b3-4a0e-99c4-bba569423636" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Grid size: (91, 109, 91)\n" ] } ], "source": [ "a = jnp.array(get_data(gm_imgs)).transpose((3, 0, 1, 2))\n", "grid_size = a.shape[1:4]\n", "a = a.reshape((n_subjects, -1)) + 1e-2\n", "a = a / np.sum(a, axis=1)[:, np.newaxis]\n", "print(\"Grid size: \", grid_size)" ] }, { "cell_type": "markdown", "metadata": { "id": "Wq1VgYrKOfSm" }, "source": [ "## Instantiate a `grid` geometry to compute $W_p^p$\n", "\n", "We instantiate the {class}`~ott.geometry.grid.Grid` geometry corresponding to these data points, living in a space of dimension $91 \\times 109 \\times 91$, for a total total dimension $d=902629$. Rather than stretch these voxel histograms and put them in the $[0,1]^3$ hypercube, we use a simpler rescaled grid, $[0, 0.9] \\times [0, 1.08] \\times [0, 0.9]$, with increments of 1/100.\n", "\n", "We endow points on that 3D grid with the `Custom` {class}`~ott.geometry.costs.CostFn` defined below: we use a $p$-norm, with $p$ slighter larger than 1 following previous work of {cite}`gramfort:15` on brain signals.\n", "\n", "We use an $\\varepsilon$ scheduler that will decrease the regularization strength from 0.1 down to 1e-4 with a decay factor of 0.95." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "ohCEtL8rhtqf" }, "outputs": [], "source": [ "@jax.tree_util.register_pytree_node_class\n", "class Custom(costs.CostFn):\n", " \"\"\"Custom function.\"\"\"\n", "\n", " def pairwise(self, x, y):\n", " return jnp.sum(jnp.abs(x - y) ** 1.1)\n", "\n", "\n", "# Instantiate Grid Geometry of suitable size, epsilon parameter and cost.\n", "g_grid = grid.Grid(\n", " x=[jnp.arange(0, n) / 100 for n in grid_size],\n", " cost_fns=[Custom()],\n", " epsilon=epsilon_scheduler.Epsilon(target=1e-4, init=1e-1, decay=0.95),\n", ")" ] }, { "cell_type": "markdown", "metadata": { "id": "fgcDssiKRB3P" }, "source": [ "## Compute their regularized $W_p^p$ iso-barycenter\n", "\n", "A small trick: If we jit and run the {func}`~ott.solvers.linear.discrete_barycenter.discrete_barycenter` function with a small $\\varepsilon$ directly, it takes ages because it's both solving a hard problem and jitting the function at the same time. It's slightly more efficient to {func}`jax.jit` it with an easy problem, and run next the problem with the 𝜀 target we need." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "KrgGpsaNB262", "outputId": "3222529a-c779-4ed0-bc3b-2facc31593b1" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 3.8 s, sys: 1.99 s, total: 5.78 s\n", "Wall time: 5.27 s\n" ] } ], "source": [ "%%time\n", "discrete_barycenter_fn = jax.jit(discrete_barycenter.discrete_barycenter)\n", "g_grid._epsilon.target = 1\n", "barycenter = discrete_barycenter_fn(g_grid, a)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "d0Ku4Kh_olQJ", "outputId": "501cd85e-3cf4-4d1a-d10a-1025d294dc04" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 7min 16s, sys: 6min 50s, total: 14min 7s\n", "Wall time: 14min 6s\n" ] } ], "source": [ "%%time\n", "g_grid._epsilon.target = 1e-4\n", "barycenter = discrete_barycenter_fn(g_grid, a)" ] }, { "cell_type": "markdown", "metadata": { "id": "TetIW9fjNziD" }, "source": [ "### Plot decrease of marginal error\n", "\n", "The computation of the barycenter of $N$ histograms involves the resolution of $N$ OT problems pointing towards the same, but unknown, marginal {cite}`benamou:15`. The convergence of that algorithm can be monitored by evaluating the distance between the marginals of these different transport matrices w.r.t. that same, common marginal. Upon convergence that should be close to $0$." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 377 }, "id": "2ap2lxfT0_pv", "outputId": "66f2fa34-0905-43a3-92f2-4394c27c64e4" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light", "tags": [] }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 5))\n", "errors = barycenter.errors[:-1]\n", "plt.plot(np.arange(errors.size) * 10, errors, lw=3)\n", "plt.title(\"Marginal error decrease in barycenter computation\")\n", "plt.yscale(\"log\")\n", "plt.xlabel(\"Iterations\")\n", "plt.ylabel(\"Marginal Error\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "a2rqdok1N188" }, "source": [ "### Plot the barycenter itself" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 218 }, "id": "vVrw54z6ZxDB", "outputId": "ee96a4a7-24dd-4265-ae11-89a8ddd8df2b" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "def data_to_nii(x):\n", " return nilearn.image.new_img_like(\n", " gm_imgs[0], data=np.array(x.reshape(grid_size))\n", " )\n", "\n", "\n", "plotting.plot_epi(data_to_nii(barycenter.histogram))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "tqg86SFQvzXC" }, "source": [ "### SqEuclidean barycenter, for reference" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 235 }, "id": "aIZc_5fBZILG", "outputId": "3cf0aa74-68c8-4142-d272-25015b6c8ee5" }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 24, "metadata": { "tags": [] }, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "plotting.plot_epi(data_to_nii(np.mean(a, axis=0)))" ] } ], "metadata": { "accelerator": "GPU", "colab": { "collapsed_sections": [], "name": "Sinkhorn_Barycenters (1).ipynb", "provenance": [] }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.8" } }, "nbformat": 4, "nbformat_minor": 1 }